Study On Band-gap Property Of Composite Sheet With Periodic Particle Damping Based On Phononic Crystals

With the development of society,the vibration caused by many kinds of mechanical equipment and industrial products in the social life and the work environment attracts more and more attentions.The research of phononic crystal(periodic structure)and particle damping is analyzed and summarized.On the basis of that,a kind of composite sheet structure with periodic particle damping is designed.By using volatility/spectral element method,orthogonal experiment design and non-linear optimum design,the first band-gap and its parameters of the composite structure are studied.Firstly,the band-gap formula of the composite sheet structure with periodic particle damping is induced by the method of volatility/spectral element and validated by experiments.The band-gap of the elastic-wave transmission in the composite sheet structure is proved.Secondly,the relationship between the parameters of the mass of particle damper,the proportion of particle material and the space between particle dampers and the band-gap of the composite sheet are researched by using orthogonal experiment to establish the regression modal of the composite sheet structure's band-gap.Based on the regression modal,the variation rule between the width and start-frequency of the composite sheet structure's band-gap and three structural parameters is summarized.Finally,aiming at a certain band-gap,the the design parameters,the mass of particle damper,the proportion of particle material and the space between particle dampers,are optimized based on the mapping relationship between the width and start-frequency of the composite sheet structure's band-gap and the regression modal.The vibration propagation of the composite sheet structure with the optimized parameters is proved to be consistent with the optimization results.